A blood pressure measurement apparatus and a blood pressure measurement method. For a blood pressure measurement apparatus having a wrist band the width of which is smaller than 60mm, the accuracy of blood pressure measurement is improved. The blood pressure measurement apparatus comprises an apparatus body (301), a wrist band (302) and a pulse sensor (306); the apparatus body (301) is connected to the wrist band (302); the apparatus body (301) comprises a housing (309), and a processor (303), a driving component and a pressure sensor (304) arranged within the housing (309); the pulse sensor (306) is fixed on a contact face of the wrist band (302) in contact with a wrist; the processor (303) controls the driving component to drive the wrist band (302) to linearly apply a pressure to an artery in the wrist; the pulse sensor (306) acquires a pulse shock wave signal in the process of the wrist band (302) linearly applying a pressure to an artery in the wrist; the pressure sensor (304) acquires a pressure signal in the wrist band (302) in the process of the wrist band (302) linearly applying a pressure to an artery in the wrist; the processor (303) acquires the pulse shock wave signal and the pressure signal, and separates a linear pressurization baseline signal from the pressure signal, and calculates a blood pressure value through the linear pressurization baseline signal and the pulse shock wave signal.L'invention concerne un appareil et un procédé de mesure de la tension artérielle. Pour un appareil de mesure de la tension sanguine pourvu d'une bande de poignet dont la largeur est inférieure à 60 mm, la précision de la mesure de la tension artérielle est améliorée. L'appareil de mesure de la tension artérielle comprend un corps d'appareil (301), une bande de poignet (302) et un capteur de pouls (306); le corps d'appareil (301) est relié à la bande de poignet (302); le corps d'appareil (301) comprend un boîtier (309) et un processeur (303), un élément d'entraînement